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Simplifying 3 + 0.5y + 0.75z = 3 Add '-3' to each side of the equation. 3 + 0.5y + -3 + 0.75z = 3 + -3 Reorder the terms: 3 + -3 + 0.5y + 0.75z = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5y + 0.75z = 3 + -3 0.5y + 0.75z = 3 + -3 Combine like terms: 3 + -3 = 0 0.5y + 0.75z = 0 Solving 0.5y + 0.75z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75z' to each side of the equation. 0.5y + 0.75z + -0.75z = 0 + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 0.5y + 0.00 = 0 + -0.75z 0.5y = 0 + -0.75z Remove the zero: 0.5y = -0.75z Divide each side by '0.5'. y = -1.5z Simplifying y = -1.5z
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